Question

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Answer 1

Using linear function concepts, the y-intercept of AB is of 11.2.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points of a line, the slope is given by change in y divided by change in x, hence, for A(8,0) and B(3,7):

m = (7 - 0)/(3 - 8) = -7/5 = -1.4.

Then:

y = -1.4x + b.

When x = 8, y = 0, hence we use it to find the y-intercept b as follows:

0 = -1.4(8) + b

b = 11.2.

The y-intercept is of 11.2.

More can be learned about linear function concepts at brainly.com/question/24808124

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